A company produces a variety of sofas. The manager wants to prepare an aggregate production plan for the next six months using the following information:

There are 5 workers, each making 30 sofas a month. The maximum number of sofas produced during overtime is 30 per month. Part-time workers can handle a maximizes total cost. No ending inventory or backorders are allowed at the end of month 6.

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MONTH 2 3 4 6 Forecast Demand 60 150 160 180 170 40 Cost Per Unit Regular time Overtime Part fime Inveriory, per month Backorder, per month $100 $150 $120 $10 $50